ArticleOriginal scientific text

Title

On the Poincaré series for diagonal forms over algebraic number fields

Authors 1

Affiliations

  1. Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, People's Republic of China

Bibliography

  1. Z. I. Borevich and I. R. Shafarevich, Number Theory, Academic Press, New York 1966.
  2. J. R. Goldman, Numbers of solutions of congruences: Poincaré series for strongly nondegenerate forms, Proc. Amer. Math. Soc. 87 (1983), 586-590.
  3. J. R. Goldman, Numbers of solutions of congruences: Poincaré series for algebraic curves, Adv. in Math. 62 (1986), 68-83.
  4. E. Hecke, Lectures on the Theory of Algebraic Numbers, Springer, New York 1981.
  5. J. Igusa, Complex powers and asymptotic expansions, II, J. Reine Angew. Math. 278/279 (1979), 307-321.
  6. J. Igusa, Some observations on higher degree characters, Amer. J. Math. 99 (1977), 393-417.
  7. E. Stevenson, The rationality of the Poincaré series of a diagonal form, Thesis, Princeton University, 1978.
  8. J. Wang, On the Poincaré series for diagonal forms, Proc. Amer. Math. Soc., to appear.
Pages:
97-101
Main language of publication
English
Received
1991-07-04
Published
1993
Exact and natural sciences